Решите систему уравнений: x^2-y^2=16 x+y=8

Решите задачу:

$\left \{ {{x^2-y^2=16} \atop {x+y=8}} \right. \ \textless \ =\ \textgreater \ \left \{ {{(x-y)*(x+y)=16} \atop {x+y=8}} \right. \ \textless \ =\ \textgreater \ \left \{ {{(x-y)*8=16} \atop {x+y=8}} \right. \ \textless \ =\ \textgreater \ \\ \left \{ {{x-y=2} \atop {x+y=8}} \right. \ \textless \ =\ \textgreater \ \left \{ {{x=2+y} \atop {2+y+y=8}} \right. \ \textless \ =\ \textgreater \ \left \{ {{x=2+y} \atop {2y=6}} \right. \ \textless \ =\ \textgreater \ \left \{ {{x=5} \atop {y=3}} \right.$